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Some remarks on fixed points of lower semicontinuous multifunctions. (English) Zbl 0799.54034

The author gives a counterexample to a result of G. Tian [ibid. 158, No. 1, 161-167 (1991; Zbl 0735.47037)] and indicates some additional assumptions under which this result becomes true.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
47H10 Fixed-point theorems
54C65 Selections in general topology

Citations:

Zbl 0735.47037
Full Text: DOI